Answer:
14:6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.<span><span><span>3x</span>+<span>2<span>(<span>x−9</span>)</span></span></span>=<span><span><span>8x</span>+x</span>−14</span></span><span><span><span><span>3x</span>+<span><span>(2)</span><span>(x)</span></span></span>+<span><span>(2)</span><span>(<span>−9</span>)</span></span></span>=<span><span><span><span>8x</span>+x</span>+</span>−14</span></span>(Distribute)<span><span><span><span><span>3x</span>+<span>2x</span></span>+</span>−18</span>=<span><span><span><span>8x</span>+x</span>+</span>−14</span></span><span><span><span>(<span><span>3x</span>+<span>2x</span></span>)</span>+<span>(<span>−18</span>)</span></span>=<span><span>(<span><span>8x</span>+x</span>)</span>+<span>(<span>−14</span>)</span></span></span>(Combine Like Terms)<span><span><span>5x</span>+<span>−18</span></span>=<span><span>9x</span>+<span>−14</span></span></span><span><span><span>5x</span>−18</span>=<span><span>9x</span>−14</span></span>Step 2: Subtract 9x from both sides.<span><span><span><span>5x</span>−18</span>−<span>9x</span></span>=<span><span><span>9x</span>−14</span>−<span>9x</span></span></span><span><span><span>−<span>4x</span></span>−18</span>=<span>−14</span></span>Step 3: Add 18 to both sides.<span><span><span><span>−<span>4x</span></span>−18</span>+18</span>=<span><span>−14</span>+18</span></span><span><span>−<span>4x</span></span>=4</span>Step 4: Divide both sides by -4.<span><span><span>−<span>4x</span></span><span>−4</span></span>=<span>4<span>−4</span></span></span><span>x=<span>−1</span></span>
Answer:
UY = 90
GH = 4
Step-by-step explanation:
Since both figures are similar, the ratio of their corresponding side lengths would be the same.
Thus:
✔️UY/GF = XW/IJ
UY/10 = 54/6 (Substitution)
Multiply both side by 10
UY = (54*10)/6
UY = 90
✔️Also,
UV/GH = XW/IJ
36/GH = 54/6
36/GH = 9
GH = 36/9
GH = 4
Answer:
The first perfect square root that is bigger than 95 is 100.
Answer:
15 3/10 years
Step-by-step explanation:
Ballio age = 12 4/5
Bill's age = Ballio's age + 1 1/6
Bills age = 12 4/5 + 1 1/6 = 64/5 + 7/6 = (384 + 35) / 30 = 419 / 30 = 13 29/30
Jane's age :
13 29/30 + 1 1/3
419 / 30 + 4 /3 = (419 + 40) / 30 = 459 / 30 = 15 9/30
15 9/30 = 15 3/10 years